Research Catalog

Title

Wavelet applications in engineering electromagnetics / Tapan K. Sarkar, Magdalena Salazar-Palma, Michael C. Wicks.

Author

Sarkar, Tapan (Tapan K.)

Publication

Boston : Artech House, [2002], ©2002.

Items in the Library & Off-site

Holdings

Details

Additional Authors

• Salazar-Palma, Magdalena.
• Wicks, Michael C.

Description

xxi, 347 pages : illustrations; 24 cm.

Series Statement

Artech House electromagnetic analysis series

Uniform Title

Artech House electromagnetic analysis series.

Subjects

• Electric filters > Mathematical models
• Electromagnetic theory
• Electromagnetism > Mathematical models
• Wavelets (Mathematics)
• Signal processing > Mathematics

Bibliography (note)

• Includes bibliographical references (p. 305-330) and index.

Contents

• Ch. 1. Road Map of the Book. Why Use Wavelets? What Are Wavelets? What Is the Wavelet Transform? Use of Wavelets in the Numerical Solution of Electromagnetic Field Problems. Wavelet Methodologies Complement Fourier Techniques -- Ch. 2. Wavelets from an Electrical Engineering Perspective. Development of the Discrete Wavelet Methodology from Filter Theory Concepts. Approximation of a Function by Wavelets. Examples. App. 2A. Principles of Decimation and Expansion -- Ch. 3. Application of Wavelets in the Solution of Operator Equations. Approximation of a Function by Wavelets. Solution of Operator Equations. Wavelet Basis in the Solution of Integral Equations -- Ch. 4. Solving Matrix Equations Using the Wavelet Transform. Implementation of the Wavelet-Like Transform Based on the Tensor Product. Numerical Evaluation of the Wavelet-Like Transform. Solution of Large Dense Complex Matrix Equations Using a Wavelet-Like Methodology Based on the Fast Fourier Transform.
• Utilization of Custom FIR Filters -- Ch. 5. Solving the Differential Form of Maxwell's Equations. Solution of One-Dimensional Problems Utilizing a Wavelet-Like Basis. Solution of [actual symbol not reproducible][superscript 2]U+k[superscript 2]U = F for Two-Dimensional Problems Utilizing a Wavelet-Like Basis. Application to Some Waveguide Problems -- Ch. 6. Adaptive Multiscale Moment Method. Introduction of the Multiscaling Methodology. Use of Multiscale Basis in Solving Integral Equations Via the Moment Method (MM). Differences Between a Multiscale Basis and a Subdomain Triangular Basis on an Interval [O, L]. Analysis of Electromagnetic Scattering from Materially Coated Strips. Extension of the Multiscale Concepts of 2-D Problems. A Two-Dimensional Multiscale Basis on a Triangular Domain and the Geometrical Significance of the Coefficients for the Multiscale Basis -- Ch. 7. The Continuous Wavelet Transform and Its Relationship to the Fourier Transform. Continuous Transforms.
• Discrete Transforms -- Ch. 8. T-Pulse: Windows That Are Strictly Time Limited and Practically Band Limited. A Discussion on Various Choices of the Window Function. Development of the T-Pulse. Summary of the Optimization Techniques. Numerical Results -- Ch. 9. Optimal Selection of a Signal-Dependent Basis and Denoising. Selection of an Optimum Basis. Denoising of Signals Through the Wavelet Transform.

ISBN

1580532675 (alk. paper)

LCCN

2002023673

OCLC

• ocm49226211
• SCSB-4288819

Owning Institutions

Columbia University Libraries